{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 余弦的解析信号\n",
    "本例展示了确定解析信号的方式，同时也演示了余弦信号对应的解析信号虚部是一个同频率的正弦信号。如果该余弦信号的均值非零（具有直流偏置），那么它的解析信号的实部是一个具有相同均值的余弦信号，但虚部的均值为零。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "创建一个频率为100Hz的余弦信号，采样率为10kHz，并添加2.5的直流偏置。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.signal import hilbert\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "t = np.arange(0,1,1e-4)\n",
    "x = 2.5 + np.cos(2*np.pi*100*t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "使用Hilbert函数来获取解析信号。解析信号的实部等于原信号，虚部是原信号的Hilbert变换。将实部与虚部绘制出来进行比较。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.015, 1.2, 'Imaginary Part ↓')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = hilbert(x)\n",
    "plt.plot(t,y.real)\n",
    "plt.plot(t,y.imag)\n",
    "plt.xlim([0,0.1])\n",
    "plt.axis([0,0.1,-1,4])\n",
    "plt.text(0.015,3.7,'Real Part \\u2193')\n",
    "plt.text(0.015,1.2,'Imaginary Part \\u2193')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "可以看到虚部是一个与实部具有相同频率的正弦信号，但虚部的均值为0，实部的均值为2.5。\n",
    "原信号为\n",
    "x(t)=2.5+cos(2π1000t)。\n",
    "解析信号的结果为\n",
    "z(t)=2.5+e^j2π1000t。\n",
    "绘制10个周期的复数信号。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Lenovo\\AppData\\Local\\Temp\\ipykernel_5724\\3629175957.py:2: MatplotlibDeprecationWarning: Axes3D(fig) adding itself to the figure is deprecated since 3.4. Pass the keyword argument auto_add_to_figure=False and use fig.add_axes(ax) to suppress this warning. The default value of auto_add_to_figure will change to False in mpl3.5 and True values will no longer work in 3.6.  This is consistent with other Axes classes.\n",
      "  ax = Axes3D(fig)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Im {z(t)}')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "prds = np.arange(1,1000,1)\n",
    "\n",
    "ax.plot3D(t[prds],y.real[prds],y.imag[prds])\n",
    "ax.set_xlabel('Time')\n",
    "ax.set_ylabel('Re {z(t)}')\n",
    "ax.set_zlabel('Im {z(t)}')"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "50b3613bd6a25bc2d447b407d1c56fd5d68cd9ed5791261fdbb62427f5a42027"
  },
  "kernelspec": {
   "display_name": "Python 3.10.3 64-bit",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
